Three-loop critical exponents, amplitude functions, and amplitude ratios from variational perturbation theory

Details Three-loop critical exponents, amplitude functions, and amplitude ratios from variational perturbation theory Three-loop critical exponents, amplitude functions, and amplitude ratios from variational perturbation theory

2000-11-20

arxiv.org/abs/cond-mat/0011329v1

Phys. Rev. E 63, 056113 (2001)

Physics

Condensed Matter

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper (including all P

Scientific paper

10.1103/PhysRevE.63.056113

We use variational perturbation theory to calculate various universal amplitude ratios above and below T_c in minimally subtracted phi^4-theory with N components in three dimensions. In order to best exhibit the method as a powerful alternative to Borel resummation techniques, we consider only to two- and three-loops expressions where our results are analytic expressions. For the critical exponents, we also extend existing analytic expressions for two loops to three loops.

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